Question

2. A study was being conducted of the annual incomes of probation officers in metropolitan areas having populations of less than one hundred thousand and in those areas with populations of more than five hundred thousand. The following sample statistics were calculated:

                               Population less   Population more

                               than 100,000      than 500,000  

Sample size                          25                 60

Sample mean                        $11,290      $11,330

Sample variance                    $ 1,060      $ 1,900

We test the hypothesis that the annual incomes of probation officers in areas with populations of more than 500,000 are significantly more than those in areas of less than 100,000, at the five percent level of significance, and calculate a computed value in step 4 of -4.648.

a. What is the null hypothesis for this problem?

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b. How many tails does this problem have? ________

c. Is the table value a z- or t-value, and what is it (what is the actual number ??) and its sign? ______________

d. What is the DCAR statement for this problem?

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Answer 1